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Beliebt Geometry >

x^2+9y^2-2x+72y+136=0

Lösung

x^{2} + 9 y^{2} - 2 x + 72 y + 136 = 0

Lösung

(h, k) = (1, - 4), a = 3, b = 1

Schritte zur Lösung

x^{2} + 9 y^{2} - 2 x + 72 y + 136 = 0

Rewrite

x^{2} + 9 y^{2} - 2 x + 72 y + 136 = 0

in the form of the standard ellipse equation

\frac{( x - 1 ) ^{2}}{3 ^{2}} + \frac{( y - ( - 4 ) ) ^{2}}{1 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (1, - 4), a = 3, b = 1

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (1, - 4), a = 3, b = 1

Graph

Beliebte Beispiele

36x^2+25y^2-50y-875=0

36 x^{2} + 25 y^{2} - 50 y - 875 = 0

((x-7)^2)/(64)+((y-6)^2)/(36)=1

\frac{( x - 7 ) ^{2}}{64} + \frac{( y - 6 ) ^{2}}{36} = 1

(x^2)/(81/4)+(y^2)/(26/16)=1

\frac{x ^{2}}{\frac{81}{4}} + \frac{y ^{2}}{\frac{26}{16}} = 1

25x^2+9y^2+200x-36y+211=0

25 x^{2} + 9 y^{2} + 200 x - 36 y + 211 = 0

4x^2+9y^2-8x+36y+4=0

4 x^{2} + 9 y^{2} - 8 x + 36 y + 4 = 0